Mine is the same way. I did it because it is the simplest way so you don't need any transfer switches. If you on shore power, no need to turn it off. If you dry camping, it no biggee if you leave it on, just uses maybe a 1/2 amp of battery power.
And yes, I do have a lighted switch for the inverter, and still forget to turn it off now and then,....its no bigee
Rich
'01 31' Rexall Vision, Generac 5.5k, 1000 watt Honda, PD 9245 conv, 300 watts Solar, 150 watt inv, 2 Cos 6v batts, ammeters, led voltmeters all over the place, KD/sat, 2 Oly Cat heaters w/ ox, and towing a 2012 Liberty, Lowe bass boat, or a Kawi Mule.